Finding the Fourth Proportional to 14,082.90, 19,434.15 and 7,709.34

Step by Step Solution

1. Step 1: Write the proportion equation
   14,082.90 : 19,434.15 = 7,709.34 : x
2. Step 2: Convert to fraction form
   14,082.90/19,434.15 = 7,709.34/x
3. Step 3: Cross multiply
   14,082.90x = 19,434.15 × 7,709.34
4. Step 4: Simplify right side
   14,082.90x = 149,824,469.96
5. Step 5: Solve for x
   x = 149,824,469.96/14,082.90
6. Step 6: Final answer
   x = 10,638.75